Yutong Wang

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math.RT2025

Gelfand-Kirillov dimensions and annihilator varieties of highest weight modules of exceptional Lie algebras

Zhanqiang Bai, Fan Gao, Yutong Wang +1

In this paper, we give an efficient algorithm to compute the Gelfand-Kirillov dimensions of simple highest weight modules of exceptional Lie algebras. By using the Sommers-Achar du…

math.RT2024

On the annihilator variety of a highest weight module for classical Lie algebras

Zhanqiang Bai, Jia-Jun Ma, Yutong Wang

Let $g$ be a classical complex simple Lie algebra. Let $L (I^»)$ be a highest weight module of $g$ with highest weight $I^» - I ¨ $ , where $I ¨ $ is half the sum of po…